{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 6: Optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Robert Johansson\n",
    "\n",
    "Source code listings for [Numerical Python - Scientific Computing and Data Science Applications with Numpy, SciPy and Matplotlib](https://www.apress.com/us/book/9781484242452) (ISBN 978-1-484242-45-2)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "matplotlib.rcParams['mathtext.fontset'] = 'stix'\n",
    "matplotlib.rcParams['font.family'] = 'serif'\n",
    "matplotlib.rcParams['font.sans-serif'] = 'stix'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import sympy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sympy.init_printing()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from scipy import optimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import cvxopt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from __future__ import division"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Univariate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "r, h = sympy.symbols(\"r, h\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Area = 2 * sympy.pi * r**2 + 2 * sympy.pi * r * h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Volume = sympy.pi * r**2 * h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "h_r = sympy.solve(Volume - 1)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Area_r = Area.subs(h_r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "rsol = sympy.solve(Area_r.diff(r))[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\frac{2^{\\frac{2}{3}}}{2 \\sqrt[3]{\\pi}}$$"
      ],
      "text/plain": [
       "   2/3 \n",
       "  2    \n",
       "───────\n",
       "  3 ___\n",
       "2⋅╲╱ π "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rsol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$0.541926070139289$$"
      ],
      "text/plain": [
       "0.541926070139289"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_.evalf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAACEAAAASCAYAAADVCrdsAAAABHNCSVQICAgIfAhkiAAAAZRJREFUSInt1T1IllEUB/BfovZBDUFEQ1Y4R1Cbg1iUSyAOikNDOAgtQZND1BARQVhDNAQp0ZCDi0OIOKgY5NBYYoGbtAROlvRJH8M9Lz08vvflNV7IoT9cznn+z7n3/jnnnnvZ5tj1Lzffh6tYqxEziNf4glU8woFGCTiNG/iEX5mYISxF3G0sR+wK9jRKCCxmROzGLHYWuBa8iPiLf7NZU4b/nuE7cA1fS7EPwz/USBE5zONlFX497JsSfxTjeI+fUraK4wE0b1FEDsfxDjMFrg0jwR/EHSmDVzARwiZrLbogfzDLaMZbnC/xXWH78Sr8dnxAazFwq+WohmEp5dMl/nnYIUyFfwFz+FbPwgvqy0Qv7tX4fwQ/pANNaudL9QioV8RZqea1cFOqfRNOxJrtjRLRpXoG9uNM+CexgbvxfR2fsQPncLgyKdcde8O22HxndOIJHsfCFbSiB93StT4m1f5+/D8mvUfz0lU/mNlbB27509OjUt0rOIWPNvd7ZTyNuMvS2zNQmNsn3SfPpIz9x/bEb0GQW2drZWJCAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$12 \\pi$$"
      ],
      "text/plain": [
       "12⋅π"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# verify that the second derivative is positive, so that rsol is a minimum\n",
    "Area_r.diff(r, 2).subs(r, rsol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEcAAAAeCAYAAAB+MQMgAAAABHNCSVQICAgIfAhkiAAAAzRJREFUaIHt2FuIVVUcx/HPjFZaVnShIGq6+eKDA2khimlZTznUg9GFIJQuGgQ9iN0YQaUS0oqQKKJgCiPqISEoTMx6EAJfwkJKKaJIGrpbmUaX08N/idszZx/33mfreIb5wubsvdd/rd//rLX2/7/WYpxxTlSWoVHDdaJrmoJnsBUPFbDvxzfoLSs0ypqV6MeEJLy1gP0GrO5CzY6Yg1uPYnMKfsQlXaxZmj68gs8wqY3d7djSxZod8TqualP+vqOPdDdoVuJpnJNTdil+ENO8azWbI/o8fIh9GMbLODtTvhwbMYB38VNOu3fhNfyVU74Yn+AgvsaLODfHti7NjliA97AQs/CYyPWbSrYzAd9iek753fgUq/AEdiWdPTi1rNMFNTuiB2uTSJZt+K1kWwuxI6dsskjH2al/EraLDrqzpFYRzY7pFY43s0k4Xoa3cG9O2QIxK5u5Q3TOgyW1imgeE/rwMaam5yvFN9/Tps55+BVnlNQaEJ0z0PS+Ts2LRUwaxn9GbhU2FHG0F4tEoHwDF2CJCJ4NXNOm7goMFRFp4mGx5J+YeVen5kV4E0+JjlkrYt4veCHd9xdxdBmexxfJse+wUsSfBl5tU/dzzC0ikmGiWNzdkHl3T82a89PvzdiZ7i8T8fTkkv4iZtBzybkHRErfn65WU3gudlfQeQSDOWV1a27G4+l+UPlMfART8LfoJGIEG1oHvyHlA+pNYqq3oy7NPvyL2el5F5YWrJvL93g03V8rHP2oyeZ0ERTPL9HudVhXwK4uzTUiGPeK+NIQn1ZlLhQrzkMZqwdfpoanZeyWKjdF52s9Y84SnZGlDs0r8AfWp+dBHEhtXy/+Zy5nik3bajEicBrewX1NtiuTo9lR32FkGs7janyV2hnMXGvE0qHVNqITzcX4B3+KrAUvpfY+UCC7ThbBar/ITkN4EjNa2B76dodFppmOvUaurlsxA7/LP5bcmFOvE837xYb0lsy7RWL/+LaYrbWyRfyZG/GswxngWDIampW4TTi6WYzK5WNUsxKT8LNwdttY1ax6Qn9QnMoRZz7Hg9HQrMxMsTdpd6Y7FjQr09Eiqos0xxmnBP8DEZcC486jUFoAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$3 \\sqrt[3]{2} \\sqrt[3]{\\pi}$$"
      ],
      "text/plain": [
       "  3 ___ 3 ___\n",
       "3⋅╲╱ 2 ⋅╲╱ π "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Area_r.subs(r, rsol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAJ0AAAATCAYAAACKnA9+AAAABHNCSVQICAgIfAhkiAAABW5JREFUaIHt2WmoXdUVB/Dfy+AsUjV1iklKNYhKHT44UqspWLWKtX6QoNVYrSgURIhjHRtNceigH6yz4kTb1BGHtqi8Uoc6BmOtIILzrHWeNfHD2tece94+9+5zX1pDuX84XM7ea6271v/ss9fa6zDEEMshJuI7X4Puf9PeSsvAxv8Cy5q/5QITMmN/x5LK9Tm2LLRXorsTRvEOXsGlWHMc9mbhSszH+bgV2zXYWx3H4/keMUzD5ZiH8/AnTO8hD5PxEOaMU66Uv6vwW9yIC7FWxlYpz3OwCB/jWVyEtTNypbyU+vcVdsB9OKdyzcOKvZRa6M7CX/FDbIvTBbk3DGhvL7yFb1bGdsL72Lhmb2ecig/Tf+YwHS/pXhSH40Ws16ADZySbc3rI9JMriXdXvGrpQxzBH/G4eKE6KOX5UDwmeJmf7CzBk1ilIlfKS6l/XbgZmzZN9kE/3RH8SqSMKu7CuwP6chMezIy/gSMbdO7RvOhuwgvJ1w4m4mVc3aCzI67Xf9H1k+sX70Q8nfFj82TzzHRfyvPKuEP3op6Mu5O9AyvjJbyU+teFLcQWeyPmGrtT9EKJ7gQRaB03iEAH8WWB2Lk2qIytik+wX4POqPyiWx+LRaqu41p8amyaWB23YBO9F10/uZJ4t0u6p2Tm3hQv2ohynmeJXbCO/dP/HJPuS3kp9a8LJ4hap1pTXKIstQ6qOw0LsdGA9nZPc4tEChgRdd11xr7pHYzKL7p90/gvMnMnp7m9auMXYivM0HvR9ZMriXe27sVQxSNprs5jB00857BnsrVnui/lpdi/6kFiPjYUReTPRW4+BFcUONpWd0IK5h+ifvhwQHu3p/nN8C+ROv+ZbH9R4HcV09LvG5m519PvtytjPxbpZGEfuyVyJfF2/Jqa0X8//U6pjffjOYfNxQvwl3Rfyssg/o3BWoKoJdimwNk2uofj93gqyTynR6FZYO8CfJTm77eUqBxG5Xe6E9L4wZm5n6a5E9P9eiJddV7aGfI7WKlcHbl41xFlwzPGdh3uS7L19kpbnifhCexRGSvlpdi/XMukgzfF6YZ87u+FfroX4AjMFOlwwxRAW3uTcJl4g6eJY/w2uFd3nVeCzps6OTPXGfsg/Z6Lo0St0wulcnXk4n0VvxNlxBki9kk4SLRVlohiv4q2PB+Na3BbZayUl2L/ei06eFi0JAZpppboLsaxoh81cwB7x4sWyVyx1e8naooNcFJLf19Ov7meUqdv9ZRIf3eK3tdK6erUXpPT/aQWck1oivc4sRMtErvoCqJ+fQT/abBVwvPeKc7Ta+OlvIzHvy6M4D38qER4HLqviW28rb1H8YeM7ELRf8phVD69ThF14GWZuSvFA1uzot/rOrWFXBNK+ZubbB3WR45mnr+Psxt0SnlZFv6BXcSWWD+C96qZ+unWMVXUAv1OVjl7D4j+Ux0LRIrNYVRzn+5mUfRXMSH97/XpflPRHqhe+ySb89L91BZyTSjhb7pIfw9qPq130MTz9/DrjPw3kg+U8dLav+3FNnqt6MvAt0RRXv+kdKwg7uiWumuIdHOapcXsquKz1RED+jIbn+mu89YWKW12PciEh5L/uRplpvhsdEBl7Gd4W/fJtY4Zyg4IObk28VaxmniY/9b9RaaUZ/iuWEwnicNA5/qlyBad9DkIL03+fYUpyal3xQO7PDm9bkb2ILHt/6Sl7sriGP6BIPkKnIWtx+EL/AB/E32ts8Vnl90yctuLemWxePAXizqmjs3wZ/xGFMYLRFO3F2YYfNG1jZdYjIsEh/XTaCnPW4vn2JT6618W2vDSy7+xHeIhlmscIB7+56KWffzrdWcMlnf/hhhiiCGGGOL/FV8CmRkRfl1lHJkAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$5.53581044593209$$"
      ],
      "text/plain": [
       "5.53581044593209"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_.evalf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(r):\n",
    "    return 2 * np.pi * r**2 + 2 / r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "r_min = optimize.brent(f, brack=(0.1, 4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAIkAAAATCAYAAACk2S7sAAAABHNCSVQICAgIfAhkiAAABSFJREFUaIHt2WeoXUUQB/Cf5sUYNYjG2E0iFiyxoKKJYo0IFogKgtGosSIoiNiwYRfF7gc7GmLvBRtYiF2xgWBXVBR77BoVNX6YPS/n3bfn3r3viSLcPxzOPbuze+Y/M2d2di899NABI/6F+dfDF8OcZ1H8MXx1usJC2AWHCQ5L4d1/WYd/Gu38Ucx3PK7DGbgUt2FCF0o8gfkt175t5EfiJcxs6B+D4/FVmzm2wvW4CPfgSozNyM3Ea/gVH+EqLNMw5yS8igewSoNMia0uM9ge1fXVEOS65VHqj7Z8+2q/J+A5nIBZqe1QPItN8FmDIhU2xyK4oNY2D7e2GXMqNm7o2yZdx2J0g8wOIkDWwVzxNdyCJzEZPya5g3AE7kw6TsPBaf4N8Uttzi1xP+7CAcKwrSix1RjsiPPwZcv4ffF8+l0q1y2PUn+U8O3HvfhEGLrCCEH4hnYDE+4TzirFFkmx+ZozCTwjr/gIfJDRbVKSPzc9j8ajGFWTGYmnDf6yVhSOel0YuAklttpf/gPoE9lh+y7luuFBmT9K+fYL/4XZmb6b8Lt8Cq+wgUh/9+BorNHhfWNE9K6lc5DMkQ+Syan9lEzfXHwtnLgdNsvI7J3GH1truzK1TW+jz3BttaNwfl8bmZxcNzxK/VHC18LpPkUY9O2MzFsiYjdvM8/OgtA0kTbfwTUGRn0d5+NkQWSoWDXd52X6PhKOWg2P44WMzPfp/ka6j8IMYbTxIs3/gvdxnAVZY7i22lNk0E6FeKtcKQ/K/FHKtz9Ixqf71xklqsJptTaEzhYFzzI4XFTPB1qwXtexu1gmXm0zXwkqXVfO9P2U7uPajJ+Ej/Fwet4Ei+EHUVtMFlnjKZyDM5PccGw1Sjju9jZ6dSPHYB6U+aOUbz9OEBG1f0aJqpg5qUDhCmNFEMzHprX2FXC3BcE50dCXm+XwGz6szVfhuTRm/YY5+/Amdqq17ZHGnN8iu4gw8jyxTA7HVrspW2pK5XI8csj5o5Rvv3Grr2Jk5gVV288dFKljrqjEGbiOXoIjxZo+XHyBi8VO4yxhsD7sJyr9+aK4zOEY3IgHa21/pvunLbK/4xFxVrOB4dlqqEtNE3I8csj5o5Rvf6RW29tcwVXtwd/roEgrXsa36WVE2nsMn9faqjVypAUHZt0cmh2Pb7CXSM/vi6p+BF5Jfa2YJjgd1dL+cbrnzhwqQy5m6LZaXBxWTcv0DUWuiUcTWv1Ryrcf40RkXZsZMFs4bulCZSosJM4pdk3PczQfGFXXqZl5qnGlODrJH5LpmyoKuRxG4zvcnOm7KM25tqHbarpYQjqdcpfItePRhFZ/lPIdgPtEQVnHwiJl39XSPl5nbJvGVgdh64jiqH7tlpQ5Iz3nitA5yoNkglgOXjTYyFsbeLBUYamkK1whDNd6ZvCQ2M1UFX83tqpwr9hydkInuRIeObT6g3K+/VhTbKdm1NoOTpPUq/XjhNOOSc9TRAq+SVTHxPb0BeH4dpioc+H6UpLJ1QB1LCGC4w0s29K3pXDqyaKorK7TRUFXpdyVxFd8Ym3sJLE1nFprK7VVhSXFdn9qpq8buRIe3fijlO8ArIs7cKEoCm8XB1517CfS1j7peZw48/9B1BvX4TQs3/SSGiZqDpIpYhv2V5K5WvM6PVn8nzFLqshr2Cjp27TEtZ7Yri6OvW/F5SIzbJV5Z4mtKsxUttS0kyvl0a0/OvIdlE7+Z5ghnPWH+M/m9f9WnR566KGHHnroYYj4G9Nau8nobJjPAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$0.541926077256$$"
      ],
      "text/plain": [
       "0.54192607725571351"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r_min"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$5.53581044593$$"
      ],
      "text/plain": [
       "5.5358104459320856"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(r_min)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     fun: 5.5358104459320856\n",
       "    nfev: 19\n",
       "     nit: 15\n",
       " success: True\n",
       "       x: 0.54192607725571351"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optimize.minimize_scalar(f, bracket=(0.1, 4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "r = np.linspace(0, 2, 100)[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "\n",
    "ax.plot(r, f(r), lw=2, color='b')\n",
    "ax.plot(r_min, f(r_min), 'r*', markersize=15)\n",
    "ax.set_title(r\"$f(r) = 2\\pi r^2+2/r$\", fontsize=18)\n",
    "ax.set_xlabel(r\"$r$\", fontsize=18)\n",
    "ax.set_xticks([0, 0.5, 1, 1.5, 2])\n",
    "ax.set_ylim(0, 30)\n",
    "\n",
    "fig.tight_layout()\n",
    "fig.savefig('ch6-univariate-optimization-example.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Two-dimensional"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x1, x2 = sympy.symbols(\"x_1, x_2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f_sym = (x1-1)**4 + 5 * (x2-1)**2 - 2*x1*x2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fprime_sym = [f_sym.diff(x_) for x_ in (x1, x2)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\left[\\begin{matrix}- 2 x_{2} + 4 \\left(x_{1} - 1\\right)^{3}\\\\- 2 x_{1} + 10 x_{2} - 10\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡                  3⎤\n",
       "⎢-2⋅x₂ + 4⋅(x₁ - 1) ⎥\n",
       "⎢                   ⎥\n",
       "⎣-2⋅x₁ + 10⋅x₂ - 10 ⎦"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Gradient\n",
    "sympy.Matrix(fprime_sym)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fhess_sym = [[f_sym.diff(x1_, x2_) for x1_ in (x1, x2)] for x2_ in (x1, x2)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\left[\\begin{matrix}12 \\left(x_{1} - 1\\right)^{2} & -2\\\\-2 & 10\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡           2    ⎤\n",
       "⎢12⋅(x₁ - 1)   -2⎥\n",
       "⎢                ⎥\n",
       "⎣     -2       10⎦"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Hessian\n",
    "sympy.Matrix(fhess_sym)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f_lmbda = sympy.lambdify((x1, x2), f_sym, 'numpy')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fprime_lmbda = sympy.lambdify((x1, x2), fprime_sym, 'numpy')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fhess_lmbda = sympy.lambdify((x1, x2), fhess_sym, 'numpy')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def func_XY_X_Y(f):\n",
    "    \"\"\"\n",
    "    Wrapper for f(X) -> f(X[0], X[1])\n",
    "    \"\"\"\n",
    "    return lambda X: np.array(f(X[0], X[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f = func_XY_X_Y(f_lmbda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fprime = func_XY_X_Y(fprime_lmbda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fhess = func_XY_X_Y(fhess_lmbda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: -3.867223\n",
      "         Iterations: 8\n",
      "         Function evaluations: 10\n",
      "         Gradient evaluations: 17\n",
      "         Hessian evaluations: 8\n"
     ]
    }
   ],
   "source": [
    "X_opt = optimize.fmin_ncg(f, (0, 0), fprime=fprime, fhess=fhess)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.88292613,  1.37658523])"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "x_ = y_ = np.linspace(-1, 4, 100)\n",
    "X, Y = np.meshgrid(x_, y_)\n",
    "c = ax.contour(X, Y, f_lmbda(X, Y), 50)\n",
    "ax.plot(X_opt[0], X_opt[1], 'r*', markersize=15)\n",
    "ax.set_xlabel(r\"$x_1$\", fontsize=18)\n",
    "ax.set_ylabel(r\"$x_2$\", fontsize=18)\n",
    "plt.colorbar(c, ax=ax)\n",
    "fig.tight_layout()\n",
    "fig.savefig('ch6-examaple-two-dim.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Brute force search for initial point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(X):\n",
    "    x, y = X\n",
    "    return (4 * np.sin(np.pi * x) + 6 * np.sin(np.pi * y)) + (x - 1)**2 + (y - 1)**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x_start = optimize.brute(f, (slice(-3, 5, 0.5), slice(-3, 5, 0.5)), finish=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.5,  1.5])"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_start"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$-9.5$$"
      ],
      "text/plain": [
       "-9.5"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(x_start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: -9.520229\n",
      "         Iterations: 4\n",
      "         Function evaluations: 28\n",
      "         Gradient evaluations: 7\n"
     ]
    }
   ],
   "source": [
    "x_opt = optimize.fmin_bfgs(f, x_start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.47586906,  1.48365787])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$-9.52022927306$$"
      ],
      "text/plain": [
       "-9.5202292730550155"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(x_opt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def func_X_Y_to_XY(f, X, Y):\n",
    "    s = np.shape(X)\n",
    "    return f(np.vstack([X.ravel(), Y.ravel()])).reshape(*s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "x_ = y_ = np.linspace(-3, 5, 100)\n",
    "X, Y = np.meshgrid(x_, y_)\n",
    "c = ax.contour(X, Y, func_X_Y_to_XY(f, X, Y), 25)\n",
    "ax.plot(x_opt[0], x_opt[1], 'r*', markersize=15)\n",
    "ax.set_xlabel(r\"$x_1$\", fontsize=18)\n",
    "ax.set_ylabel(r\"$x_2$\", fontsize=18)\n",
    "plt.colorbar(c, ax=ax)\n",
    "fig.tight_layout()\n",
    "fig.savefig('ch6-example-2d-many-minima.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Nonlinear least square"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(x, beta0, beta1, beta2):\n",
    "    return beta0 + beta1 * np.exp(-beta2 * x**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "beta = (0.25, 0.75, 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "xdata = np.linspace(0, 5, 50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "y = f(xdata, *beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ydata = y + 0.05 * np.random.randn(len(xdata))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def g(beta):\n",
    "    return ydata - f(xdata, *beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "beta_start = (1, 1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "beta_opt, beta_cov = optimize.leastsq(g, beta_start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.25498249,  0.7693897 ,  0.52778771])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta_opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Rk8Ur8yYxv/ciXnzR8/jo0fDCC87GaIzxbb/99huffvopS5cuZV1xF176GWviqyTRvVrA8nkwYQJBTz1Fz0fuoefzAegLd3PXXZ4jqIAAzzAexhhzspo3b86cOXOcDqNK2RFUZRKBSZM8w3wAjB7Nnfue4IX/eppR77oLPvrIwfiMqYb89TSGL6joZ28Jyhvuuw9ef91zyPTII9y5dSxPTcpF1TMA4g8/OB2gMdVDaGgoe/futSTlAFVl7969FbreyjpJFDAvvpKHdf/wQ7juOsjKQm+6mb8HvMEb0wJo1Mhzna8fls4yxlWysrJISkoiIyPD6VCqpdDQUJo1a3bCNVdl7SRhCSqP16qOL1wIl18OR46QdcUwLj7wLosWB9ChA3z3HYSHl3/Txhjji6wX30nyWtXxCy+ERYugXj2C577Hh03upmNHZcMGT3m/o0crtnljjPFXlqDyeLXqeO/e8PnnEBZGvXde4vO+T9G4sRIXB//4B/jpQawxxlSIJag83qjDdZw+fWDuXAgOpuVrE/j0qhmEhcG0aZ7R540xxhzPElQeb9ThOsGQITBjBohw5os38+7NCxGBhx6CWbMq72WMMcYfWILKU2VVx6+9lvwSE9GvXsQzN/4MwM03e3r2GWOM8bBefE558kl4+GE0KJg7h2zl5c+a06yZZySPyEingzPGGO+xXnxu99BDcM89SHYWTy3oRIPInSQlwQWXZpCTU/rTjTHG31mCcooI80aM5eMuAwnPSuN/B88nOOwIP38fyrCRaaU/3xhj/JwlKAdN+Woz9w6+m0Vtz6RzZgJvBt0MksucN+vw8cdOR2eMMc6yBOWgnanpZAcGMfqy+1nfqDUj0j7gH/WeB+DGG2HLFocDNMYYB1mCclD+NVZHQsK47cqHSakVzkupYzir/nIOHvRUmjhypPjnz4tPpm9sHK1j5tM3No558clVFLkxxnifJSgHFbz2amfdRoy6/CGyAoP4av9gTmu0nzVrYNSooitN5NcOTE5NR4Hk1HTGz11rScoY4zcsQTmo8LVXuzv1YM3EZ6hLGnP3nEfN0BzefhtefvnE53qtdqAxxriEjajrsOjuUYUuBj4fjuyi0+TJvB4wiut4nXvugR494Jxz/lzLq7UDjTHGBewIyo2efBKioxl+5A1Gh88gK8tTgCI19c9VvF470BhjHGYJyo0CAmDmTOjWjSmpt9Ghxi8kJkK7/rv5aJXnHFOV1A40xhgHWYJyq9q1WfDUVA7WqsUnmX+lRsAR9q5tzB2P7GdefHLV1Q40xhiHWC0+F+sbG0fjdauYPWs8H+RewwjeQYJy6HbXj8T/3zmlb8AYY1zIavH5gZ2p6axq1oHHB/6d63mX6+RtNDuQX97pSEaG09EZY4x3WYJysfwOD293v5iPOg7gFb2dlgHbyEqpy333ORycMcZ4mSUoFzvWEUKEBwffRXJEQ+bkXkWwZPHii1i9PmOMX3NFghKRQSLykohMFJFHi3i8tYjMEZEYEZktIpc5EWdVK9gRIiMklEdvepyutTcTqw8AcOutkJTkcJDGGOMljneSEJGawBqgk6pmisgc4CVVXVxgnZeBTar6fyLSHXhfVU8tabv+0EmiSB99RO4VV3IJ8/mCi+jfH+LiIDCw9KcaY4wb+FInid5Aoqpm5s0vA4YWWmc3kD/ObCTwUxXF5j6XX07A/eOYzk00CdjN0qUwadKJq1khWWOMr3NDgmoEFByh72DesoKeBc4WkWeBR4BpRW1IREaKyEoRWZmSkuKVYF1h0iQa/aUzM3OvR8jl8ceVFSv+fNgKyRpj/IEbEtQfQJ0C83XzlhU0HXhdVccClwPviUiDwhtS1amq2ktVe0VGRhZ+2H8EBcGsWQxquoF7eYacHGHECDh0yPOwFZI1xvgDNySo5UBLEamRN98XmC8iDUSkbt6y5sDveff3A7m4I3bnNG4MH3zAk4ET6crPbN0KY8Z4HrJCssYYf+D4Tl5VjwC3A8+LyJPAmrwOEjHAHXmrjQHuEpEHgZeBB1V1jyMBu0mfPtR4+gne4XpqkMHrr8O8eVZI1hjjHxzvxectftuLrzBVuOwynvusLWN4jogI5el3d/H00p+Pa+YLCw60Wn3GGFfwpV58piJEYPp0RkfNZRBfsWeP8MH/ncJTl1shWWOMb7MBC/1Bw4YEvDeL6f2H0yV3NV980YBLLoliWYwlJGOM77IjKH/Rty9Rk+7gVUYBcN+9uWzc6HBMxhhTAZag/Mn993P14DRu5C3SMwK4/jrl6FGngzLGmPKxBOVPAgJgxgz+23gSrdjGqnjhscecDsoYY8rHEpS/adSIurOnMkNuRsglNlZZtszpoIwx5uRZgvJHAwZw7sSBxBBLbq5w4/XZpKWV/jRjjHETS1D+6qGHmDjgf5xBPL8mBjF2jH9e72aM8V+WoPxVYCAh70xjZvhoT5WJN4RPP3U6KGOMKTtLUP6saVM6vzOep3gQgNtuOoo/F3k3xvgXS1D+7uKLuWdMAH8hjj/2hzDylqP4aXUrY4yfsQRVDQTEPsX0Ls9QlwPMmx/C9GmWoYwx7lfuBCUirUXkHBE5Q0RqV2ZQppKFhNBi7n94ocZ9APzzziy2bXM4JmOMKcVJJSgRaSIiz4jILmALnuHZfwJSReRbEbnSG0GaStCuHSNeH8CVfEhaRgg3XX2YnJzSn2aMMU4pc4ISkcuAlcBpwOvAaOA24B/AQ8AG4F8iMk9EanohVlNBMuJ6Xhm2hCb8zjc/1eLZf2U5HZIxxhSrTONBicidQDNgsqoeLGXdq4FrgWtV1bE9YLUZD+pkHTrEF6eP4eLk1wgJyOLH+GC6dnU6KGNMdVJp40GJyDnAXlUdX1pyAlDVD4AHgLFlitRUrdq1uejTOxgV8BpHc4MZcekBMjKcDsoYY05Ulia+vcB6EQkt60ZVdQvwUbmjMt7VvTvPxGZxKptYu6MeE0YfcDoiY4w5QVkS1DhgNbBJRLoBiMg1IvKgiFwmIkUOeqiqmyoxTlPJat13O2/3e5VAsnnmtXrEfWU9Jowx7lKWBJULNAZuAh4XkWeA2cCTwDxgq4hc7r0QjTfMW72TRwf0456QZwC4/vKD7N/vcFDGGFNAWRLUClVNUdWv8fTa6wKcArQBrsbTzfx9EYnxXpimMs2LT2b83LVsyAoh8XI4ixXsOlyfay5MdDo0Y4w5piwJqq6ItARQ1ZS8292qul1V56jqFcA5wA0icoEXYzWVZMqCBNKzPE16P7bqzMAe71OTwyxa2ZJZr9j5KGOMO5QlQb0KvCYi/8o7BzWi8Aqq+hPQH7iukuMzXrAzNf24+dkDBzC6/hQAbr87kN8Sc50IyxhjjlNqglLVTGAosA9YCMSLyHQRuU5EIgustxf41muRmkrTNDzsuPncgEDihrXmosD5HMiuzU0Dk8i1HGWMcViZKkmoapaq/gtoAYwBgoDngN9FZJWITBaRvwCNvBeqqSzjBrcnLDjwuGUHIxpz58RDNGI3X29twXNjdzgUnTHGeJxULT5VzVTV91V1BJ6efb2BD4E+wJfAQyLyuYjcLyKlXiVsnBHdPYrJV3QhKjwMAaLCw5h8RReGThjGG5d9AsD4/zRmzTIbJ94Y45wylToq04Y8Fc3PBwYDFwJtge2q2qZSXuAkWamjcsrM5B/NPuXVPVfRpV4iP/zegtAwcToqY4wfqbRSR2WlqodU9RNVvVNVTwVOBd6srO2bKlKjBs8sOoNTZQtrD7Tk/ovXOR2RMaaa8tqAhaq6VVWf9Nb2jffU6taOWU9sIZij/HdJF+Y/v9XpkIwx1ZCNqGuK1POhITx1tud81M1j6vP7JjsfZYypWpWWoESkvojcIyKXVNY2jbPGLh7KBbWXsye3ATf230Zujg0Vb4ypOpV5BPU68AxQT0RiK3G7xiEBtcJ464tGRLCHRbu78uzVy50OyRhTjVRmgjoC7FDVd4CpItK5ErdtHHJKv7ZMH/cLAA9+1Iuf3tngcETGmOqi0rqZA4hIoKq6YtwG62ZeuUZ3+Zr/rvsLbYN+pcW4DWzL9VSkGDe4PdHdo5wOzxjjQ7zWzVxEtorIWYWW1RaRtm5JTqZi5sUn0zc2jtYx8+kbG8e8+GSe/qY3HUM2sTW7DYEvgqqSnJrO+LlrmRef7HTIxhg/VJ4mvtXA7wUXqOohoKeIRJcnCBEZJCIvichEEXm0iMdFREbnTc+KiF1f5SX5Q3Ekp6ajcCwJfbltL82v20go6Sw6OJQeX+wGID0rhykLEpwN2hjjl8qToK4HhotIewARqSEiA4B+eDpKnBQRqQm8AoxR1YlAVxEZWGi1EUCqqj6vqmPx1AE0XlBwKI58+UkooXEgZ3X9EoDFa6+i3aZdwInV0Y0xpjKUJ0HVApKBD0XkByAViAMGAuXpvdcbSMyrmg6wDE/19IKuBxrkHUE9BRwqx+uYMigu2exMTadpeBjbh4TQo95yDlKPPR93p15a2gnV0Y0xpjKUJ0FtwFPCKB1PMlkA9FPVTqr673JsrxFQ8CrQg5xYFb0lUFdVnwemA1+KSGChdRCRkSKyUkRWpqSklCMUU1yyye8QUTMkkNQR+2gamMTPuT047W1l3KB2VRylMaY6KE+C+hJopKpnqeoY4HKgk4hcWs4Y/gDqFJivm7esoIPA9wCquilvneaFN6SqU1W1l6r2ioyMLPywKYOihuIICw481ltv8hVdaNIsjAbRqwnmKB8eHE7WJBsGzBhT+cqToGaq6rFxwdXjNSBNRGLKsb3lQEsRqZE33xeYLyINRKRu3rLFQBuAvGWBwK5yvJYpRXFDceR3JY/uHsWymPNZ++ElPHPXdgD+Nu8SNr/0lXNBG2P8UmUOt3E+8J6qnvShi4hcAFwFpABZqvqYiDwN7FPVWBGpBzwNJOIZxmOOqn5e0jbtOijvU4VrzkjgwzXtOSNgDd/FhxHW9VSnwzLGuFxZr4MqNUGJyNmq+n0ZXrAJcI6qzsubP1NVfyxrwJXNElTVOJCq9Gq+iy2HTmFk/fd5dcfFULu202EZY1ysMi/UPSoiD5e2kqruKpCc+gM2om41UC9c+ODLutSQTKbuv4a3B033HFoZY0wFlZqgVDUeSBKRD0WkVUnr5lU0fxy4XVVfrpwQjdud0bcWz0/cB8Co729hw4MzHI7IGOMPgkpbQUSuxdOrbg7ws4hsBtbg6aRwFE8PvAZAl7xpkqoO91rExpX+/vApLF20g3e+acHVsT35fsC31Brcz+mwjDE+rCxNfKOAtqo6CzgdT4+6c4EY4BFgDHAh8BPQQ1Uf91KsxsVE4JXPW3B6g938QmdG/fV3dNt2p8MyxviwsiSoxXkXyKKqvwPrVfVUPEdOzYH6qhqlqqNU9RcvxmpcrnZt+GBxQ2oFpvNO5tX8X58PIM1G4jXGlE9ZElSOiLwiIl3y5nsCqOphVU0ueE2UMZ3PCGL6G7kAjNs1lq8unAK5uQ5HZYzxRWXpJDEZ2Ap8IyK/AwNF5AERGSAi1p/YnOCqm2rx0O37yCWQYSvuYesdzzgdkjHGB5WpkoSqTsHTnPcY0BC4H0+B2P0iskZEXheRv+dXODfVV/5YUm/XWU6r5lvZTwOiXx3CoddmOR2aMcbHlLnUkaqmqeorwAeq2hBoB1wLfIYneU0CNojIFhGZUKBMkakmCo4lhUDOlVtoWGsX6+jCTaNCyf1uhdMhGmN8SHlq8b0OoKq/quocVX1QVQeraiOgFZ6jq8bAUhHpUXmhGrcrPJZUQI1sagzfSM3Aw8zVy5l04f9gxw4HIzTG+JKTTlCq+nMJj+1Q1bmqejdwFnBlRYIzvqWosaSCGx6m3l/XIOTyyOEH+GTAs3D4sAPRGWN8TXmOoMrqEaC7F7dvXKa4saRan5nOpAkZAIzY9jgb/hpz0j378s9ttY6ZT9/YOObFJ1c4XmOMu3kzQf0BvOXF7RuXKWksqZjHa3Jenz9Ioy6XLR7N6+fcwrxVSWXabsFzWwokp6Yzfu5aS1LG+DmvJShVfV5V3/PW9o37lDSW1Merk/m938+Eh+9iC6cy7ceRbBj7ZJmSTOFzWwDpWTlMWZDgpXdijHGDUmvxGXMyortHHRvcsKApCxLIlKPUum4TVn78AAAWB0lEQVQdWW+G8l1GX0753+9kPvUi0R88VeI2izq3VdJyY4x/8GYTnzHH5CeToDqZ1L3uZ2oEHWEOV5H6YSNYuLDE5xZ3bqu45cYY/2AJylSJgskkJPIQ9a5aQ6Bk8R/u4T+XLuLrd78sthNESee2jDH+yxKUqRKFk0xYy700vtRTW3jM0Vi23/ouAdu3FdkJoqRzW8YY/1XqkO++yoZ8d5958clMWZDAztR0moaHMW5we9Z/1piHHgkilHRm1hnGUzdfy76a9QBPIloWc77DURtjKltZh3y3BGUcpQoNu25l/7q2NGQPb0Rex/gRIzkS4jla2hY71OkQjTGVrKwJypr4jKNE4PRrd1CvZTJ7iWBsystMef8FQrMyrBOEMdWcJSjjuPsvPo3Gw9ZTOyKFX2lLTPJ/efbDF3lgQEunQzPGOMgSlHFcdPco/nVtR04ftZGa9fazji5M2PFv+k94ADIznQ7PGOMQS1DGFaK7R/Hjk+eyeX192rXIJJ4eDFl8H2mX3whHjzodnjHGAZagjKs0bQqLv6lBy1OO8j3nMPSLOzl81U2QleV0aMaYKmYJyrhOixYQ920IUY2O8g39uezT20i/9hbIznY6NGNMFbIEZVypTRuI+yaExg2yiGMgV869jswbboOcnNKfbIzxC5agjGuddhosXhpMRHgWX3Axw2ZHk3XDrdbcZ0w1YQnKuFqnTrBoSTD162TxMdEMm/VXMi67Bo4ccTo0Y4yXWYIyrtetGyyMC6Ze7Ww+4gqGfnkXaQOjITXV6dCMMV5kCcr4hF69YOmyIJpEZBPHQM5fMYk9/aJh1y6nQzPGeIklKOMzunaFb1cE0aZFFis5k36/vMJv51wNv/7qdGjGGC+wBGV8Stu28O2KYLp0yCaB0+mb+A4bz74J1q51OjRjTCWzBGV8zimnwP+WBdH3nGx+owX99nzEj33+Cd9953RoxphKZAnK+KT69WHh4iAuHpLDXiI4/9DHLB7wBMya5XRoxphKYgnK+KyaNWHeJ4FcPzyXQ9ThoqyPee26OBg/3i7oNcYPuCJBicggEXlJRCaKyKMlrHe9iKiI1K7K+Ix7BQfDjLcDGDtGySKEkbzGnbHNyLrsSjh40OnwjDEVEOR0ACJSE3gF6KSqmSIyR0QGquriQut1ADo6EqRxtYAAeOZZoUtXGDUyl5ey7mTd5535oNfF/Dwllokbjh43zHx09yinQzbGlIEbjqB6A4mqmj/wzzLguHG+85LY/cBjJW1IREaKyEoRWZmSkuKVYI173XwzLP0mgFMaZbOU8zhz8zvUuOYBWq1ejgLJqemMn7uWefHJTodqjCkDNySoRkBagfmDecsKmgQ8oaolDgykqlNVtZeq9oqMjKzkMI0vOPtsWBkfxNm9cthBS4Yc/Yqh763jlpUfgyrpWTlMWZDgdJjGmDJwvIkP+AOoU2C+bt4yAESkOVAfuEZE8hePFZHPVXVllUVpfEbTprDkm0Aiz9zBoXUtuJ5ZxCyezH+S/s3DQ25nZ4EKSfPik5myIMFnmgB9LV7jXr7wXXJDgloOtBSRGnnNfH2Bl0SkAZCtqr8BN+evLCKTgWdV9ZAj0RqfEBoKXa7bwsbFaaTGnU6sjufchL5MTRrDjOtvADz/oOPnriU9y9PjL78JEHDdPyr4XrzGvXzlu+R4E5+qHgFuB54XkSeBNXkdJGKAO/LXE5FIEZmQN3u/iLjnUzSudP+Q9jTu/RuRw34kOOwI39CfwYfj6P3aKvThR3j28/XH/kHzubkJcMqCBJ+K17iXr3yX3HAEhap+BXxVaNn9heZTgCfzJmNKlf9LcMqCBH6L/JYji7qxd0NjbtQZfP7kLB5rMoGH/zqSpPAmxz1vZ2o6UHITiBPNI/lxlXW5McXxle+SKxKUMd4S3T3qWOJQhTffhH/elcPsjOF8u6sfr7zxdxYO6czHnf5y7DlNw8NKbAIBHGkeaRoeRnIRO5Cm4WFee03jn3zlu+R4E58xVUUE/vY3WL02kLN7ZpNEcy7N/pwanzXi/+Y+Q+ShfYQFBzJucPsSm0Ccah4ZN7g9YcGBxy3Lj9eYk+Er3yVLUKbaadfOM2zHxEeVAIEp3M9Dm19g4tTZzM76ieiuTUpsAnGqeSS6exSTr+hCVHgYAkSFhzH5ii6uOqltfIOvfJdEVZ2OwSt69eqlK1daL3RTshUr4MbhWWzeHgzAtczi32e8w0PnXsqSms1OWD8qrwmkqOaRqPAwlsWc792AjfFh+eduV/5nFJm/b5bS1rcjKFOtnXMOrN0YzKQnlbCQbGYznNNXz6LLC5uYEDedmkf/TET5TSC+0jxiijYvPpm+sXG0jplP39g4qyxSRfLP6xb14644lqBMtVejBjz4kLA+IYjoS7I4RB3u02d47sdHmTR1JkMSviOqXuixJhBfaR4xJyq4k7TyV1WrqHO3pbFefMbkadUKPvo0mM8/h9GjMvglqTNXHP6Y4fPe5a3tr9Cu792AJwkV7B1ofEdJHVzs7+ld5TlHa0dQxhRy8cWwbnMoj0/MJTQ4m1lcx+mrZ/G38zazbcAtsHq10yGacvKV63/8UXm6sFuCMqYIoaHw8KMBbNgUxN9uPAoSwJv8jdP+N5VR3b9nx2V3wZYtTodpTlJxO0m3Xf/jj4o6d1saS1DGlKBVK3j9rRA2bgrgxmsyyJVApjKKdp8+y52nfUXyDTGwbZvTYZoysg4uzil47rasrJu5MSchIQEeu/8wsz8JQwmgBhkMZzZ3D9pAjycu93QLNK7mC1W8/Z2I/KSqvUpdzxKUMSfvl1/gsXsP8sGCuseW9WEZd526kCsf70bI1X+FwKKbM2wHaao7S1CWoKoNJ3f4W7bAS08f4s0ZgRzI9DRdNOF3RoW/z8ixtWl6zzVQ58/hzgrX+ANPE5O/dlO3ZGyKYgnKElS14JYd/qFD8M6bGbwQe5h1vzcEIIgsLgn8guF9Ernkgc7UvOg8+j69xLEqFFVdnd0tfxvjPpagLEFVC31j41xVdkgV/heXwwsTdjFvRRNy8DTz1SaN6JpfUadFAr/0jSAxoulxzxNgW+xQr8VVUrIAvJJI3Pa3Me5R1gRlF+oan+a261pEYMDAQAYMjGLnTnj/5T28+2YmP+6M4u0jV8BGaLhxDwNqLiK0wy4SejUkJbyB17s5l1aB3RsXr7rtb2N8jyUo49PcPK5N06ZwzxMR3PMEbNmUy+x/JTLjgyA2pzVnzpFr4Seo89NBzqzxPeeevZ/EbutpOaSDJ8uVQ0nNdOVJFhVNJG7+2xjfYNdBGZ/mK9e1tDstgAlvtCbhQHP+81Yi/U5fQouQX0mjLnGZF/DY0itpdXFHOtbYwtjuX7MwdhWH9mSUeful1Zgr6QJVb1286it/G+Nedg7K+Dxf7im2Y1MGC/67iS8+y2ZR4qmk6Z89/gLIoVvtrfTpsJ8+F9Smzw1tadk+tMgDrNLO9zhxDgp8+29TmexzOJ51krAEZXxMVmYuy6dt5MuZf7BodQTxR9qTTfBx6zQJ3kuftrvodXYQXS9oTNf+4TRrBm3Gz6eo/+SCnS+quhef8bDejCeyBGUJyvi4I0n7WDljPd99nsp3a+vw3cFO7CXihPXCgw8RWSuZgIYHSG+eS2ZULsH1DxNQ8yjN6luPOadZb8YTWS8+Y3zQCUcyF7Un5kHPr2zdt5/N78fx3bw/WL02kLW7I/k5pzN7syJITW0PqcDWP7cVGnCEsIiDXP35btp1rUm7M2rTtp3QvDlERXkK4hrvs96M5WcJyhiXKNwUlN/RATyFNqVBfU77x/mc9o+8J+Tmogmb2LX4f6yJ28OKHzJJ+L0hm3Lbs4V2HMgNJ+GPmiT8AXxz4us1rJVOs0ZHadY8gKi2oTRrHUyTJhAZefwUHl7ujoUG/+vNWJXNwdbEZ4xLVEpTUG4uJCai6zewb9V2tqxMZevGLLb8VoMt6U3ZSluSiSKZqBPObxUnKDCXiHrZREQo4Q0CCG8YRL1wITycY1O9ep6KTrVrQ61antv8qVYtqFnTM3JxdUx0/nQOqrLeizXxGeOg8vzKrJSmoIAAaN0aad2ahkOhIXB2/mN79sDGjZC4jNxft5OycS9JWzNJ3pFDUkoISdlN2E1jUog8bjqYU49d+0LYta/sYRQntIYSFqaEhglhYRAWJoSGQkiIJ4GFhJx4PzjYMwUFnXgbFOSpyVt4yl8eEOCZirsvUvxtWSYo/n7+fARR3NgmhHe/38GeQ5lE1Anh+rNb0jgjkuXLYemmP3jn+x2kpGUSWacGI85pwXntG53w2ZWW3Et6/GR/GCxJ+IOZyxM9MdWtwY3ntGTA6Y14dPpOUtNqHbduJvDomztpfnPlJ1s7gjKmkpX3V6ajJ9Nzc2H3bti5E37/HXbt8tz+/juZyXvYk5TB3t3ZHEhVUg8HkUr4CdMhanOYWhyi9glTOmEcpYZ334PxIXYEZYwjSiorVFKCGje4fZGJrUoubA0IgFNO8UyF1ACi8iYAsrNh3z7Yu9cz5d8/uAsOHoQDBzy3+dOBA3DoEDmHM8g8nE36oRzSjygZucGkE0YGoRwl5LgpkxrHbrMJIovgY7cF72cTRA6BJ0z5yxUhlwByCCSXgGNTwcfyb/Pv5z9W2gQUez9/vqjb0pYVpaTHKvrc8m63IlaVcT1LUMZUsvI21eUnL9dfjxQUBI0aeaaTEAjUzJsAOHoUjhyBw4chMxMyMjxT3v3vfknisxW/cjDtCI1qBHBJhwh6nFLL87z8KTsbsjMhKwuys9myM5UVm3ZDdjZBuTkE5uYSIkqPZnVoXrcG5OT8Oal6jhzzp5ycP29V/3y8qNuSJij6fsH5vNtf9xw+Ni+FrmRr3aAmhzKz2Xv46J/PwXNtW8NaIdQKKVClo6SWsJNsJUvaX/B7evzr1q8ZQuqRLHILLA9ACK8ZTM28eI4czeFgRhY5uUpggFA39M/Hjm1rR9lisQRlTCWrSK+t6O5R7ktI3pJ/kik8/ISH5sUnM353JunNGhxbNis3kMlnl9xMelNsHMnNvdNM6o3eazeU0qw72IFm32GlvObCUi74LlPzdhlPilmCMqaSOdpU5ydKayYtLll465qj0i4BKK/SvisVeT/lTailxVTSj6jyNm8XxxKUMZXMZ5rqXKykHXNJyaKi1xwVt1Ov7B1vvtK+K+V9PxVJqBX5/lb2DwRLUMZ4gT811TlRp6+kHXNJyaIiR68l7dS9WQ2ipO9Kae/HWwm1vN/fyr4o2YbbMMYUq7RhPLylpKE6SkoW0d2jmHxFF6LCwxA8503KehFpSTt1bw1JUpqS3k9JfxunyitV9hArdgRljCmWt5q2SlNSM9OUBQkl/kov76//knbq/zfsDMfOKxb3fkpLqE6UV6rs5m1LUMaYYjlZ6LS4HbO3OqGUtFN343lFX0uo5eGKBCUig4ArgD8AVdXHCj3+ANAE2AX0BB5R1Y1VHqgx1YwbC516K1lUpPeaE3wtoZaH4wlKRGoCrwCdVDVTROaIyEBVXVxgtdrAWFVVERkGTAEudSJeY6oTb3aZr0jnC28kC1/bqftaQi0PxxMU0BtIVNXMvPllwFDgWIJS1YcLrB8AHKq68Iypvry10/bWdUUV5Us7dV9LqOXhhgTVCEgrMH8wb9kJRCQEuAm4s5jHRwIjAVq0aFG5URpTTXljp+1U5wt/40sJtTzc0M38D6BOgfm6ecuOk5ecXgYeUtWthR8HUNWpqtpLVXtFRkZ6JVhjTMXZKLOmLNyQoJYDLUUkvxZ/X2C+iDQQkboAIhIGvAo8q6o/iciVDsVqjKkETl1X5E3z4pPpGxtH65j59I2N8/q1YtWB4018qnpERG4HnheRFGCNqi4WkaeBfUAs8A7QGWgtniKDtYA5TsVsjPlTeTo7+Fu9QreeU/N1NmChMabcKjIEuBMllLzF0cEmfZAN+W6M8bqKdHbwpxP8dk7NO9xwDsoY46Nsx+zhj+fU3MASlDGm3GzH7FHZRVKNhyUoY0y52Y7ZoyJV1E3x7ByUMabcqkM1g7Lyp3NqbmEJyhhTIbZjNt5iTXzGGGNcyRKUMcYYV7IEZYwxxpUsQRljjHElS1DGGGNcyRKUMcYYV7IEZYwxxpUsQRljjHElvx1uQ0TSgASn43CxCGCP00G4mH0+JbPPp2T2+ZSsvarWKW0lf64kkVCW8UaqKxFZaZ9P8ezzKZl9PiWzz6dkIlKmwfqsic8YY4wrWYIyxhjjSv6coKY6HYDL2edTMvt8SmafT8ns8ylZmT4fv+0kYYwxxrf58xGUMcYYH2YJyhhjjCv5ZTdzERkEXAH8AaiqPuZwSK4hIk2AJ4Fuqnqm0/G4jYi0xfP5rAKaAXtV9XFno3IPEQkAPgW+B0KAtsCtqpruaGAuIiJheD6fhap6n9PxuI2IrAAy8mZzVHVgcev6XYISkZrAK0AnVc0UkTkiMlBVFzsdm0v0Az4GznA6EJdqAMxW1Y8BRGS9iMxX1Z8cjstNlqvqkwAi8jGeH4PvOBuSqzwJxDsdhIt9qaoTy7Ki3yUooDeQqKqZefPLgKGAJShAVT8UkQFOx+FWqvpjoUUBwGEnYnEjVc3FswNGRILwHGVaxZY8InIDnn1OV6C2w+G4VRcReQAIA35U1fnFreiPCaoRkFZg/mDeMmNOiohcDixQ1Y1Ox+I2IjIYGAN8pqplqgrg70SkI9BBVR8Uka5Ox+Ni/1LVH0QkEFgqImmqurSoFf2xk8QfQMEaT3XzlhlTZiLyF+AveHbCphBVXaCqQ4DWInKH0/G4xOVAhojE4GlKP0tE7nE4JtdR1R/ybnOAb/D8nxXJH4+glgMtRaRGXjNfX+Alh2MyPkREhgLnAv8EThGRlqq63OGwXCHvKKF1gWaZbUAbB0NyDVWdlH9fREKB2qr6nIMhuY6InA70VdU38hadCswtbn2/S1CqekREbgeeF5EUYI11kPiTiJwH3IBnxzsBeMZ6YP1JRHoC7wErga+BWsCLeH74GMgE/iYi3YFgoAMw2tmQ3EVErgT6AyEiMlxVZzkdk4scBC4RkaZ4Wrd+A4r9fKyShDHGGFfyx3NQxhhj/IAlKGOMMa5kCcoYY4wrWYIyxhjjSpagjDHGuJIlKGOMMa5kCcoYY4wrWYIyxhjjSpagjDHGuJIlKGOMMa5kCcoYY4wrWYIyxqVE5EIRmSkiKSISKSJhIjJXRLaJiDgdnzHeZsVijXExEQkHUoBb8IxeOws4RVVXOBqYMVXAEpQxLiciPwI1gatUdYPT8RhTVayJzxj3WwakW3Iy1Y0lKGNcTEQCgNZAFxEJczoeY6qSJShj3O024GkgBOgNICJ1HI3ImCrid0O+G+PrROQUoCOQC+xW1WUisgG4XEQigVVAmpMxGlMV7AjKGPc5B3gf6K2qH+ctmwZcD2Sp6mbHIjOmClkvPmOMMa5kR1DGGGNcyRKUMcYYV7IEZYwxxpUsQRljjHElS1DGGGNcyRKUMcYYV7IEZYwxxpUsQRljjHElS1DGGGNc6f8BBLPVj3Riox4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.scatter(xdata, ydata, label=\"samples\")\n",
    "ax.plot(xdata, y, 'r', lw=2, label=\"true model\")\n",
    "ax.plot(xdata, f(xdata, *beta_opt), 'b', lw=2, label=\"fitted model\")\n",
    "ax.set_xlim(0, 5)\n",
    "ax.set_xlabel(r\"$x$\", fontsize=18)\n",
    "ax.set_ylabel(r\"$f(x, \\beta)$\", fontsize=18)\n",
    "ax.legend()\n",
    "fig.tight_layout()\n",
    "fig.savefig('ch6-nonlinear-least-square.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "beta_opt, beta_cov = optimize.curve_fit(f, xdata, ydata)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.25498249,  0.7693897 ,  0.52778771])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta_opt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Constrained optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bounds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(X):\n",
    "    x, y = X\n",
    "    return (x-1)**2 + (y-1)**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x_opt = optimize.minimize(f, [0, 0], method='BFGS').x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "bnd_x1, bnd_x2 = (2, 3), (0, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x_cons_opt = optimize.minimize(f, [0, 0], method='L-BFGS-B', bounds=[bnd_x1, bnd_x2]).x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "x_ = y_ = np.linspace(-1, 3, 100)\n",
    "X, Y = np.meshgrid(x_, y_)\n",
    "c = ax.contour(X, Y, func_X_Y_to_XY(f, X, Y), 50)\n",
    "ax.plot(x_opt[0], x_opt[1], 'b*', markersize=15)\n",
    "ax.plot(x_cons_opt[0], x_cons_opt[1], 'r*', markersize=15)\n",
    "bound_rect = plt.Rectangle((bnd_x1[0], bnd_x2[0]), \n",
    "                           bnd_x1[1] - bnd_x1[0], bnd_x2[1] - bnd_x2[0],\n",
    "                           facecolor=\"grey\")\n",
    "ax.add_patch(bound_rect)\n",
    "ax.set_xlabel(r\"$x_1$\", fontsize=18)\n",
    "ax.set_ylabel(r\"$x_2$\", fontsize=18)\n",
    "plt.colorbar(c, ax=ax)\n",
    "\n",
    "fig.tight_layout()\n",
    "fig.savefig('ch6-example-constraint-bound.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lagrange multiplier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x = x1, x2, x3, l = sympy.symbols(\"x_1, x_2, x_3, lambda\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f = x1 * x2 * x3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "g = 2 * (x1 * x2 + x2 * x3 + x3 * x1) - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "L = f + l * g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "grad_L = [sympy.diff(L, x_) for x_ in x]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sols = sympy.solve(grad_L)\n",
    "sols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "g.subs(sols[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f.subs(sols[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(X):\n",
    "    return -X[0] * X[1] * X[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def g(X):\n",
    "    return 2 * (X[0]*X[1] + X[1] * X[2] + X[2] * X[0]) - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "constraints = [dict(type='eq', fun=g)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "result = optimize.minimize(f, [0.5, 1, 1.5], method='SLSQP', constraints=constraints)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "result.x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inequality constraints"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(X):\n",
    "    return (X[0] - 1)**2 + (X[1] - 1)**2\n",
    "\n",
    "def g(X):\n",
    "    return X[1] - 1.75 - (X[0] - 0.75)**4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%time x_opt = optimize.minimize(f, (0, 0), method='BFGS').x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "constraints = [dict(type='ineq', fun=g)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%time x_cons_opt = optimize.minimize(f, (0, 0), method='SLSQP', constraints=constraints).x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%time x_cons_opt = optimize.minimize(f, (0, 0), method='COBYLA', constraints=constraints).x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "x_ = y_ = np.linspace(-1, 3, 100)\n",
    "X, Y = np.meshgrid(x_, y_)\n",
    "c = ax.contour(X, Y, func_X_Y_to_XY(f, X, Y), 50)\n",
    "ax.plot(x_opt[0], x_opt[1], 'b*', markersize=15)\n",
    "\n",
    "ax.plot(x_, 1.75 + (x_-0.75)**4, 'k-', markersize=15)\n",
    "ax.fill_between(x_, 1.75 + (x_-0.75)**4, 3, color=\"grey\")\n",
    "ax.plot(x_cons_opt[0], x_cons_opt[1], 'r*', markersize=15)\n",
    "\n",
    "ax.set_ylim(-1, 3)\n",
    "ax.set_xlabel(r\"$x_0$\", fontsize=18)\n",
    "ax.set_ylabel(r\"$x_1$\", fontsize=18)\n",
    "plt.colorbar(c, ax=ax)\n",
    "\n",
    "fig.tight_layout()\n",
    "fig.savefig('ch6-example-constraint-inequality.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear programming"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "c = np.array([-1.0, 2.0, -3.0])\n",
    "\n",
    "A = np.array([[ 1.0, 1.0, 0.0],\n",
    "              [-1.0, 3.0, 0.0],\n",
    "              [ 0.0, -1.0, 1.0]])\n",
    "\n",
    "b = np.array([1.0, 2.0, 3.0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "A_ = cvxopt.matrix(A)\n",
    "b_ = cvxopt.matrix(b)\n",
    "c_ = cvxopt.matrix(c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sol = cvxopt.solvers.lp(c_, A_, b_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x = np.array(sol['x'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sol['primal objective']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quandratic problem with cvxopt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Quadratic problem formulation:\n",
    "    \n",
    "$\\min \\frac{1}{2}x^TPx + q^T x$\n",
    "\n",
    "$G x \\leq h$ \n",
    "\n",
    "For example, let's solve the problem\n",
    "\n",
    "min $f(x_1, x_2) = (x_1 - 1)^2 + (x_2 - 1)^2 =$\n",
    "\n",
    "$x_1^2 -2x_1 + 1 + x_2^2 - 2x_2 + 1 = $\n",
    "\n",
    "$x_1^2 + x_2^2 - 2x_1 - 2x_2 + 2 =$\n",
    "\n",
    "$= \\frac{1}{2} x^T P x - q^T x + 2$\n",
    "\n",
    "and\n",
    "\n",
    "$\\frac{3}{4} x_1 + x_2 \\geq 3$, $x_1 \\geq 0$\n",
    "\n",
    "where\n",
    "\n",
    "$P = 2 [[1, 0], [0, 1]]$ and $q = [-2, -2]$\n",
    "\n",
    "and\n",
    "\n",
    "$G = [[-3/4, -1], [-1, 0]]$ and $h = [-3, 0]$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cvxopt import matrix, solvers\n",
    "\n",
    "P = 2 * np.array([[1.0, 0.0],\n",
    "                  [0.0, 1.0]])\n",
    "q = np.array([-2.0, -2.0])\n",
    "\n",
    "G = np.array([[-0.75, -1.0],\n",
    "              [-1.0,  0.0]])\n",
    "\n",
    "h = np.array([-3.0, 0.0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "_P = cvxopt.matrix(P)\n",
    "_q = cvxopt.matrix(q)\n",
    "_G = cvxopt.matrix(G)\n",
    "_h = cvxopt.matrix(h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%time sol = solvers.qp(_P, _q, _G, _h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = sol['x']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "sol['primal objective'] + 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "x_ = y_ = np.linspace(-1, 3, 100)\n",
    "X, Y = np.meshgrid(x_, y_)\n",
    "c = ax.contour(X, Y, func_X_Y_to_XY(f, X, Y), 50)\n",
    "\n",
    "\n",
    "\n",
    "y_ = (h[0] - G[0, 0] * x_)/G[0, 1]\n",
    "angle = -np.arctan((y_[mask][0] - y_[mask][-1]) / (x_[mask][-1]- x_[mask][0])) * 180 / np.pi\n",
    "mask = y_ < 3\n",
    "ax.plot(x_, y_, 'k')\n",
    "ax.add_patch(plt.Rectangle((0, 3), 4, 3, angle=angle, facecolor=\"grey\"))\n",
    "\n",
    "ax.plot(x_opt[0], x_opt[1], 'b*', markersize=15)\n",
    "ax.plot(x[0], x[1], 'r*', markersize=15)\n",
    "\n",
    "ax.set_ylim(-1, 3)\n",
    "ax.set_xlim(-1, 3)\n",
    "ax.set_xlabel(r\"$x_1$\", fontsize=18)\n",
    "ax.set_ylabel(r\"$x_2$\", fontsize=18)\n",
    "plt.colorbar(c, ax=ax)\n",
    "\n",
    "fig.tight_layout()\n",
    "fig.savefig('ch6-example-quadratic-problem-constraint-inequality.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Arbitrary function callback API"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cvxopt import modeling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = modeling.variable(1, \"x1\")\n",
    "x2 = modeling.variable(1, \"x2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 * x2 + x2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "help(modeling)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "help(solvers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "help(solvers.cp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "CVXPY \n",
    "\n",
    "cvxpy.org"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Versions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%reload_ext version_information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%version_information numpy, scipy, cvxopt, sympy, matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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